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Finding the Fourth Proportional to 407,331.56, 610,851.54 and 141,020.57

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Solution

The fourth proportional to 407,331.56, 610,851.54 and 141,020.57 is: 211,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,331.56 : 610,851.54 = 141,020.57 : x
  2. Step 2: Convert to fraction form
    407,331.56/610,851.54 = 141,020.57/x
  3. Step 3: Cross multiply
    407,331.56x = 610,851.54 × 141,020.57
  4. Step 4: Simplify right side
    407,331.56x = 86,142,632,356.18
  5. Step 5: Solve for x
    x = 86,142,632,356.18/407,331.56
  6. Step 6: Final answer
    x = 211,480.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.